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Finding the Third Proportional to 10,209 and 15,040.50

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Solution

The third proportional to 10,209 and 15,040.50 is: 22,158.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,209 : 15,040.50 = 15,040.50 : x
  2. Step 2: Convert to fraction form
    10,209/15,040.50 = 15,040.50/x
  3. Step 3: Cross multiply
    10,209x = 15,040.50 × 15,040.50
  4. Step 4: Simplify right side
    10,209x = 226,216,640.25
  5. Step 5: Solve for x
    x = 226,216,640.25/10,209
  6. Step 6: Final answer
    x = 22,158.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.